Given: F(x)=x+2 and g(x)=3x+5
(f-g)(x)=​

Answers

Answer 1

Answer:

- 2x - 3

Step-by-step explanation:

note that (f - g)(x) = f(x) - g(x)

f(x) - g(x) = x + 2 - (3x + 5) = x + 2 - 3x - 5 = - 2x - 3


Related Questions

Find the area of the shape

Answers

Answer:

32 square units

which matrix is equal to [-6,-6.5,1.7,2,-8.5,19.3]

Answers

Answer:

Bruh its D.

Step-by-step explanation:

D has the exact same values as the original matrix.

Answer:

[tex]\large\boxed{\left[\begin{array}{ccc}-6&-6.5&1.7\\2&-8.5&19.3\end{array}\right]}[/tex]

Step-by-step explanation:

Equal matrices are identical. We have the same numbers in the same places. Therefore, the matrix equal to a given matrix is ​​the same matrix.

Harry is in line at the store.he has 3 items that cost $5.95,$4.25 and $1.05.explain how Harry can add the cost of the items mentall before the pays for them

Answers

Although it beats the purpose of adding mentally by explaining how to do it. I will tell you an easy way.

First, you want to try to make it .00

5.95
1.05
——
7.00

Now, you add you can just add 4 then add the .25

7.00
4.00
——
11.00
0.25
——
11.25 dollars

For question 9 and 10 use the graph below
9. What is the x intercept
10.what is the y intercept

Answers

Answer:the x intercept is (0,-7) that is number 9 and number 10 is (0,2)

Step-by-step explanation:

Annabelle measured her bedroom as 11 ft x 13 ft which is 143 square feet help me in this

Answers

Answer:

theres the answer I got it right

Step-by-step explanation:

There are 12 inches in every feet and the area will be increased by 144 factors.

How do convert feet into inches?

Feet and inches are the units of length. One inch is equal to 1/12 times the feet.

The length and the breadth are given as 11 feet and 13 feet.

The area of the bedroom is 143 square feet.

We know that 1ft = 12 in

So, The length would become 11 feet to 132 inches.

The breadth would become 13 feet to 156 inches.

The area would become

The area of the rectangle = length × Width

                                         = 132 ×  156

                                         = 20592 in .sq

The area of the bedroom increased by 144 factors.

Learn more about conversion;

https://brainly.com/question/3477680

I did something wrong could you help?

Answers

Answer:

Slope = 1/2

y-intercept = 30

Equation : y = 1/2x + 30

D. 150 miles

Step-by-step explanation:

We can use the two visible points you marked on the graph.

They are (0,30) which is also the y-intercept and (20,40).

Calculate change of y over change of x.

10/20 or 1/2

So the slope is 1/2 and the y-intercept is 30.

Therefore, using y = mx + b form, the equation is y = 1/2x + 30

Then, to find how many miles you drove if the cost was $105, we can plug in 105 for y in the equation.

105 = 1/2x + 30

75 = 1/2x

x = 150

A robot’s height is 1 meter 20 centimeters. How tall is the robot in millimeters? Please show me how you work it out.

Answers

Answer:

1200 millimeters

Step-by-step explanation:

Given

Height=1 meter 20 centimeter

In order to convert the height into millimeter we have to convert to millimeter

We will have to convert the meters into centimeters and then centimeters into millimeter.

So,

We know that

1 meter=100 cm

So total height in centimeters will be:

1 meter 20 centimeter=100+20  

= 120 cm

In order to convert centimeters into millimeters, we will use

1 cm=10 millimeter  

To convert into smaller unit, multiplication is used,

So,

120 cm=120*10

=1200 mm

So the height in millimeter is 1200 ..

Final answer:

The total height of the robot can be obtained by converting meters and centimeters to millimeters. One meter equals 1000 millimeters and one centimeter equals 10 millimeters, so 1 meter and 20 centimeters equal 1400 millimeters.

Explanation:

To convert the robot's height from meters and centimeters to millimeters, we need to know that 1 meter equals 1000 millimeters and 1 centimeter equals 10 millimeters. On conversion, 1 meter and 20 centimeters equate to 1200 millimeters and 200 millimeters respectively. So, by adding these values we find that the total height of the robot in millimeters is 1400 millimeters.

Learn more about Conversions

https://brainly.com/question/11875738

#SPJ3

What is the measure of angle 3

Answers

Answer:

<3=31

Step-by-step explanation:

since opposite angle are equal angle 3 and  the angle on the left side of 118 have to be equal. And since there are 180 degrees in a triangle,180-118=62,  62/2= 31 so  angle 3 is 31

hope this helps

ANSWER

[tex]\angle3 = 31\degree[/tex]

EXPLANATION

The adjacent angles of a parallelogram are supplementary.

The angle adjacent to 118° is

[tex]180 \degree - 118 = 62 \degree[/tex]

Since the diagonals bisect corner angles,

we divide the adjacent angle into two to obtain;

[tex] \angle3 = \frac{62 \degree}{2} = 31\degree[/tex]

Describe the transformation that occurred on f(x) to create g(x).

Tranlslated:
A. 6 units to the right
B. 6 units to the left
C. 7 units to the right
D. 7 units to the left

and:

A: 6 units up
B. 6 units down
C. 7 units up
D. 7 units down

Reflection:
A. Did occur
B. Did not occur
C. Can't be determined

Answers

Answer:

f(x) translated 3 units to the left and 8 units down, there is no reflection occurred

Step-by-step explanation:

* Lets revise some transformation for the functions

- If the function f(x) reflected across the x-axis, then the new

 function g(x) = - f(x)

- If the function f(x) reflected across the y-axis, then the new

function g(x) = f(-x)

- If the function f(x) translated horizontally to the right  

by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left  

by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

by k units, then the new function g(x) = f(x) – k

* Now lets study the problem

∵ g(x) = 2(x + 3)² - 8

# x + 3 ⇒ means f(x) translated 3 units to the left

# -8 ⇒ means f(x) translated 8 units down

# There is no reflection occurred

Expand and simplify (2X-3)^2​

Answers

Answer:

4x^2−12x+9

If you have another question ask

The solution of expression is,

⇒ 4x² + 9 - 12x

We have to given that,

An expression to solve,

⇒ (2x - 3)²

Now, We can used the formula,

⇒ (a - b)² = a² + b² - 2ab

Hence, We get;

⇒ (2x - 3)² = (2x)² + 3² - 2×2x×3

                = 4x² + 9 - 12x

Therefore, The solution of expression is,

⇒ 4x² + 9 - 12x

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

What are the opposites of 9, -2.6, 1.15, 7 1/3? Enter the answers in respective order, each separated by a comma.​

Answers

-9, 2.6, -1.15, -7 1/3

To find the opposite of a number, multiply or divide it by -1. These four numbers just each got multiplied by -1 to get the answers.

PPPLLLSSS HELP ME!!!!
3 to the 4 power + 4 ⋅ 5 = ____. (Input only whole numbers.)

Answers

Answer:

101

Step-by-step explanation:

3 to the fourth power is 3*3*3*3 which is 81. 4*5=20. 81+20=101

Answer: 3^4 + 4 * 5 = 101

Step-by-step explanation:

You have to use the order of operations (PEMDAS)

3^4 is an exponent, so you simplify this first

3^4 = 81

4*5 is multiplication, so you do this next

4*5 = 20

81+20 = 101

When was the devil born?

Answers

what does this have to do with math?

The inequality 2x - 3y ≥ 5 is satisfied by point (1/2,1/3 ). True False

Answers

For this case we evaluate the following inequality in the given point and verify if it is met:

[tex]2x-3y\geq  5[/tex]

[tex](x, y) = (\frac {1} {2}, \frac {1} {3})[/tex]

Substituting:

[tex]2 \frac {1} {2} -3 \frac {1} {3}\geq5[/tex]

[tex]1-1\geq 5\\0\geq 5[/tex]

It is not fulfilled!

The point does not satisfy the inequality

ANswer:

False

Answer:

False

Step-by-step explanation:

(1/2, 1/3) ⇒ x = 1/2 and y = 1/3

Substitute these values in the given equation;

   2x - 3y ≥ 5

  2(1/2) - 3(1/3) ≥ 5

   [tex]\frac{2}{2}[/tex]  -   [tex]\frac{3}{3}[/tex]

= 1 - 1 = 0

Thus the inequality is not satisfied by the given points, since 0 < 5 and ≠ 5.

math help ^^ will give 10 points ^-^

Answers

Answer:

C

Step-by-step explanation:

Arc length is:

s = 2πr (θ/360)

Given θ = 80° and r = 7 ft:

s = 2π (7 ft) (80 / 360)

s = 1120π/360

s = 28π/9

Answer is C.

Plz help me with this

Answers

Answer: A) y = -5 cos(2x - π)

Step-by-step explanation:

[tex]\text{The standard form of a cosine equation is: y=A sin(Bx - C) + D}\\\\\bullet\text{A = amplitude}\\\\\bullet\text{Period = }\dfrac{2\pi}{B}\\\\\bullet\text{Phase Shift = }\dfrac{C}{B}\\\\\bullet\text{D = vertical shift (up if positive, down if negative)}[/tex]

In the given graph,

A (amplitude) = 5Phase Shift [tex]\bigg(\dfrac{C}{B}\bigg) = \dfrac{\pi}{2}[/tex] to the rightP (period) = π  --> B = 2D (vertical shift) = 0There is also a reflection across the x-axis.

[tex]\implies \large\boxed{y = -5cos(2x-\pi)}[/tex]

see graph below for verification

Camilo practica tiro al blanco. En cada disparo acertado puede obtener 5, 8, o 10 puntos. En su última práctica, su puntuación total fue de 99, él obtuvo 8 puntos tantas veces como 10 puntos. Si en el 75% de las veces acertó al blanco, ¿cuántos disparos hizo Camilo en total?

Answers

Answer:

20 disparos

Step-by-step explanation:

Primera etapa es de determinar cuantos tiros de Camilo acertaron al blanco.

Sabemos que en su última práctica, obtuvo 99 puntos con una mezcla de 5, 8 y 10 puntos.  Eso puedo se exprimir así:

5x + 8y + 10x = 99

Sabemos también que el obtuvo tantos tiros de 8 puntos que de 10 puntos, entonces

y = z

Podemos mezclar las 2 ecuaciones y substituir y por z:

5x + 8y + 10y = 99

5x +18y = 99

Una ecuación, dos variables... no es fácil... pero son números pequeños y se puede intentar soluciones.  Entonces, cuantas veces podemos multiplicar 5 y 18 para obtener 99?

El más simple es de hacer la tabla de multiplicación de 18 y ver cual número nos deja con un multiple de 5.

18 x 1 = 18 (99 - 18 = 81, no un multiple e 5)

18 x 2 = 36 (99 - 36 = 63, no un multiple de 5)

18 x 3 = 54 (99 - 54 = 45, SI, un multiple de 5)

18 x 4 = 72 (99 - 72 = 27, no un multiple de 5)

18 x 5 = 90 (99 - 90 = 9, no un multiple de 5)

Entonces, sabemos que y = 3 y z = 3

5x + 18 (3) = 99

5x + 54 = 99

5x = 45

x = 9

El tiró 9 veces por 5 puntos, 3 veces por 8 puntos y 3 veces pour 10 puntos.

En total tiró 15 veces.

Si acertó 75% (3/4) de las veces, cuantos tiros total?

[tex]\frac{15}{3/4} = \frac{15 * 4}{3} = 20[/tex]

Camilo tiró 20 veces en total.

Opel runs a bakery, and it takes her 15 minutes to make a batch of cookie dough. What is Opel's rate per minute for making batches of cookie dough?

Answers

Answer:

ok so it can either be 0.07x or 1/15x (they are equal)

(both being 1/15th of a cookie per minute)

Final answer:

Opel's rate of making cookie dough is determined by recognizing that she makes one batch every 15 minutes. Therefore, per minute, she can make about 0.067 batches.

Explanation:

In the context of this problem, we're examining Opel's productivity in creating batches of cookie dough. Specifically, Opel can make a batch of cookie dough in 15 minutes. Therefore, to find her rate per minute, we simply recognize that one task (making a batch of cookie dough) corresponds to 15 minutes. Thus, her rate is 1 batch per 15 minutes. But we want to express this in terms of batches per minute. To do this, we simply take the reciprocal of 15, which is approximately 0.067. So, Opel's rate of making cookie dough is roughly 0.067 batches per minute.

Learn more about rate here:

https://brainly.com/question/33378274

#SPJ2

PLEASE HELP I REALLY DONT UNDERSTAND WILL GIVE 100 POINTS

Show work!!!

Circle with tangent MN.
MSN = 60°; mQS = x; mQP = x + 40; m PN = 2x-16


Find X =

Angle 5 =

Angle 1 =

Angle 2 =

Angle 6 =

Angle 7 =

Angle 3 =

Angle 8 =

Angle 4 =

MPN =​

Answers

Answer:

Part 1) The value of x is 69°

Part 2) Angle 1=64.5°

Part 3) Angle 2=84.5°

Part 4) Angle 3=31°

Part 5) Angle 4=84.5°

Part 6) Angle 5=95.5°

Part 7) Angle 6=95.5°

Part 8) Angle 7=54.5°

Part 9) Angle 8=30°

Step-by-step explanation:

Part 1) Find the value of x

we know that

arc SN+arc QS+arc QP+arc PN=360° -----> by complete circle

substitute the values

60°+x°+(x+40)°+(2x-16)°=360°

solve for x

84°+4x°=360°

4x=276°

x=69°

Part 2) Find the measure of angle 1

we know that

The inscribed angle is half that of the arc it comprises

so

m∠1=(1/2)[arc QSN]

arc QSN=arc QS+SN

arc QSN=x+60°=69°+60°=129°

substitute

m∠1=(1/2)[129°]=64.5°

Part 3) Find the measure of angle 2

we know that

The measure of the inner angle is the semi-sum of the arcs that comprise it and its opposite

m∠2=(1/2)[arc SN+arc QP]

substitute the values

m∠2=(1/2)[60°+(x+40)°]

m∠2=(1/2)[60°+(69+40)°]

m∠2=(1/2)[169°]=84.5°

Part 4) Find the measure of angle 3

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

m∠3=(1/2)[arc PN-arc SN]

substitute the values

m∠3=(1/2)[(2x-16)°-60°]

m∠3=(1/2)[(2(69)-16)°-60°]

m∠3=(1/2)[62°]=31°

Part 5) Find the measure of angle 4

we know that

m∠4=m∠2 -----> by vertical angles

so

m∠4=84.5°

Part 6) Find the measure of angle 5

we know that

m∠5+m∠2=180° -----> by supplementary angles

so

m∠5+84.5°=180°

m∠5=180°-84.5°=95.5°

Part 7) Find the measure of angle 6

we know that

m∠6=m∠5 -----> by vertical angles

so

m∠6=95.5°

Part 8) Find the measure of angle 7

we know that

The inscribed angle is half that of the arc it comprises

so

m∠7=(1/2)[arc QP]

arc QP=(x+40)°=(69+40)°=109°

substitute

m∠7=(1/2)[109°]=54.5°

Part 9) Find the measure of angle 8

we know that

The inscribed angle is half that of the arc it comprises

so

m∠8=(1/2)[arc SN]

arc SN=60°

substitute

m∠8=(1/2)[60°]=30°

Match the shape with the correct formula for finding the area. 1. Rectangular Prism rl + r2 2. Triangular Prism 2B + Ph 3. Pyramid 2rh +2r2 4. Cylinder 2ll + l2 5. Cone 2lw + 2lh + 2wh

Answers

Answer:

Rectangular prism =2lw + 2lh + 2wh

Triangular prism = 2B + Ph

Pyramid =2ll + l²

Cylinder = 2π

Cone = πrl + πr²

Step-by-step explanation:

The matched shapes and their areas are:

Rectangular prism =2lw + 2lh + 2wh

Triangular prism = 2B + Ph

Pyramid =2ll + l²

Cylinder = 2π

Cone = πrl + πr²

What is a cone, cylinder, prism and pyramid?

A cylinder is a three-dimensional object. It is a prism with a circular base. A pyramid is a 3-dimensional shape that is made up of a rectangular base and 4 triangular faces.

A cone is a three-dimensional object that tapers to a vertex. A prism is  three-dimensional object that has two identical shapes facing one another.

To learn more a pyramid, please check: https://brainly.com/question/9222686

Riddle

"If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets?"

Answers

Answer:

100 minutes?

lol

Answer:

5 minutes

Step-by-step explanation:

duh...

Miguel can use all or part of his $25 gift card to make a music purchase. Each song costs $1.50, and there is a $1.00 per account activation fee. Which inequalities can represent this situation if m is the number of songs he can buy? Check all that apply.

Answers

Answer:

[tex]1.5m+1\leq 25[/tex]

Step-by-step explanation:

Given that Miguel can use all or part of his $25 gift card to make a music purchase. Each song costs $1.50, and there is a $1.00 per account activation fee.

This activation fee is once for all and hence fixed independent of the number of songs.

Thus total amount available = 25 dollars

This should be spent for both activation fee and songs

Let number of songs = m

Total cost [tex]= 1.5m+1[/tex]

This cannot exceed 25 dollars

So the ineqality would be

[tex]1.5m+1\leq 25[/tex]

erza has a square brick patio. he wants to reduce the width by 4 feet and increase the length by 4 feet.

let x represent the length of one side of the square patio. write expressions for the length and width of the new patio. then find the area of the new patio if the original patio measures 9 feet by 9 feet.

Answers

Answer:

Area of new patio = 65 ft^2.

Step-by-step explanation:

For the new patio:

Width = x-4 feet

Length = x+4 feet.

Given that x = 9, the new patio has dimensions 9-4 and 9+4 = 5 by 13 feet and its area = 5*13 =  65 ft^2.

The area of the new square brick patio is 65 ft².

Given that, the original patio measures 9 feet by 9 feet.

What is the formula to find the area of a square?

The formula to find the area of a square is a².

Where, a=side.

Now, for the new patio:

Width = x-4 feet and Length = x+4 feet.

Given that x = 9, the new patio has dimensions 9-4=5 and 9+4 = 13 feet and its area = 5*13 =  65 ft².

Therefore, the area of the new patio is 65 ft².

To learn more about the area of a square visit:

https://brainly.com/question/1603804.

#SPJ2

Two squares are similar. The first square has sides that measure 4 inches, and the second square has sides that measure 12 inches. The scale factor used to get from the first square to the second one is

Answers

3, because 12/4=3. And 12:4 is equal to 3:1 or 3.

Carolyn averaged 10.4 miles per hour. At that rate, how far could she ride from 8:00 A.M. to 10:30 A.M.?

Answers

The answer is 26 miles.

Explanation:

10:30-8:00= 2:30.

10.4÷2=5.2

10.4 ×2÷ 20.8 +5.2= 26

There is 1 cup of sugar for every 3 cups of flour in an oatmeal raisin cookie recipe. Create a ratio table that shows how much of each item would be needed when wanting to make more than one batch of cookies

Answers

Answer:

For every 1 cup of sugar there needs to be 3 cups of flour

Step-by-step explanation:

You add 3 more cups of flour for every one cup of sugar you add.

1 cup of sugar = 3 cups of flour

2 cups of sugar = 6 cups of flour

3 cups of sugar = 9 cups of flour

4 cups of sugar = 12 cups of flour

5 cups of sugar = 15 cups of flour

And so forth.

Hope this help you!

Good stuff is giving away free pens to each of the first 200 people who came in the store today. In the first hour, they gave away 75% of the pens how many is this?

Answers

Answer:

150 pens

Step-by-step explanation:

1. 75% = 0.75

2. 200 * 0.75 = 150 pens

Answer:

This would be 150.

Step-by-step explanation:

Given

The number of people who will get the pen = 200

Since, each person gets only one pen,

Thus, the total number of pen required = 200,

Also, 75% pens are given away,

Hence, the number of pen distributed = 75% of the total pens

= 75% of 200

[tex]=\frac{75\times 200}{100}[/tex]

[tex]=\frac{15000}{100}[/tex]

= 150

Make your turn please

Answers

Answer:

9in

Step-by-step explanation:

Use the Pythagorean theorem:

leg² + leg² = hypotenuse²

We have

leg = 40in

hypotenuse = 41in

Let other leg = x.

Substitute:

x² + 40² = 41²

x² + 1600 = 1681           subtract 1600 from both sides

x² = 81 → x = √81

x = 9in

I promise BRAINLIST!!! It's simple!!!

Make a stem-and-leaf plot that represents the data set below?
64, 67, 81, 89, 108, 114, 74, 52, 93, 76, 87


Answers

Answer:

answer in the image attached above

Step-by-step explanation:

Hope it helps

PLEASE ANSWER RIGHT AEAY

Answers

Answer:

[tex]y=Sin(x-\frac{\pi}{4})[/tex]

Step-by-step explanation:

The basic graph of y = Sin(x), starts at x = 0.

Looking at the graph, the basic sin curve starts at x = π/4

So this function is the parent sin function shifted π/4 units to the right.

Note:

y = Sin(x-a)  is the parent function ( y= Sinx) shifted a units right

y = Sin(x+a)  is the parent function shifted a units left

Since this function is shifted π/4 units right, the equation would be:

y = Sin (x-π/4)

The third answer choice is right.

Other Questions
A 9-meter piece of wire costs $8.64. What is the unit price? Public opinion polls: ________. Select all that apply.A. Help politicians understand how their constituents wants them to vote on health care.B. Let pollsters predict how people may vote in an upcoming election.C. May result in people changing their minds about an issue.D. Determine who will be elected in the next year.E. Indicate if people approve of their elected officials. Tims height is 1m 20cm and Ericas height is 1m. What is the simplified ratio of Tims height to Ericas height? What is the Norse belief for the end of the world?A. The world will end after the earth faces extreme climatic conditions. B. The world will end after the earth is swept over by molten metal. C. The world will end after Shiva performs his dance of destruction.D. The world will end in a great battle called the Ragnarok. if F(x) = x+6 and G(x) = x^4, what is G(F(x))? When was their hay day in football in Forrest Gump An animation is made up of individual images called _______________. A. Thumbnails B. Hot spots C. Icons D. Frames Find the product 12, -5 A=2.5B=123a+9b=?Please Help! The word ____ means one image on the screen, which can be moving or still, and which is uninterrupted. shot focus filter lens Picked my answers but would love some reassurance 1. Wer spielt (with you all), Dieter und Fred?A. ber sieB. bei ihnenC. mit euch < My AnswerD. von ihr2. Spielt ihr (against them)?A. gegen sie < My AnswerB. aus ihnenC. von euchD. bei uns3. Wir wohnen (with her).aus Ihrvon ihmfr siebei ihr < My Answer4. Siehst du den Ball? Wir brauchen (it).ihreres < My Answerihn5. Wie viele Spieler hat diese Mannschaft? ?(It) hat 15.A. Es < My AnswerB. ErC. SieD. Wir Which statement best represents the belief in laissez-faire?A. Government should protect children by prohibiting the employment of anyone under the age of 16.B. Monopolization over any one industry should be made illegal as it hurts other businesses' ability to compete.C. Railroads may not charge farmers higher rates for transporting crops over shorter distances than longer ones.D. Government regulation in the steel business hurts the ability of industries to make a significant profit. Question 34 (5 points)Which type of economy does each statement describe?Match each item in Column A to the answer in Column Bcapitalist economy1. Producers choose what to produce.command economy2. The government owns most property.command economyThe goal is economic equality.4. Consumers' choices affect producers.capitalist economy Which condition is necessary for total internal reflection? A. The refracted ray should lie along the boundary of the two media. B. The refracted ray should turn toward the normal. C. Light in a medium is incident on a boundary with a faster medium. D. Light in a medium is incident on a boundary with a slower medium. Based on the side lengths alone, could the triangles be similar?No, the sides are not proportional.Yes, the sides are in the ratio 2:5.Yes, the sides are in the ratio 4:5.Yes, the sides are in the ratio 1:5. point A has an x coordinate of -2 and lies in a circle with a center at (0,0) and a radius of 5 . to the nearest tenth , what is the y-coordinate for point a ? the Truman doctrine and the Eisenhower doctrine were similar in that both A rectangle with an area of 4/7 m2 is dilated by a factor of 7. What is the area of the dilated rectangle a spinner is divided into 6 equal sections numbered from 1 to 6 if the arrow is spun once what is the probability that it will land on a section numbered 4 or 5 Essays need as least 5 or more sentences .1 imagine you are an assistance for one of the ancient astronomers. You are present when the astronomer makes an important discovery. Write a firsthand account describing the discovery and its impact on science.2 Scientists are continuously searching the Milky Way Galaxy for other stars that may have planets. What types of stars would most like have a planet or planets suitable for life as we know it? Write a paragraph describing these stars.